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5510138496 = 27337937861
BaseRepresentation
bin1010010000110111…
…00000101010000000
3112020000022001000120
411020123200222000
542241043412441
62310433220240
7253355255502
oct51033405200
915200261016
105510138496
112378369675
121099401680
1369a7535a5
143a3b35d72
15223b23966
hex1486e0a80

5510138496 has 64 divisors (see below), whose sum is σ = 14675311200. Its totient is φ = 1831818240.

The previous prime is 5510138449. The next prime is 5510138503. The reversal of 5510138496 is 6948310155.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×55101384962 = 60723252490202284032, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126606 + ... + 164466.

Almost surely, 25510138496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5510138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337655600).

5510138496 is an abundant number, since it is smaller than the sum of its proper divisors (9165172704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5510138496 is a wasteful number, since it uses less digits than its factorization.

5510138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38257 (or 38245 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 5510138496 is about 74230.3071258634. The cubic root of 5510138496 is about 1766.2581207589.

The spelling of 5510138496 in words is "five billion, five hundred ten million, one hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 379 384 758 1137 1516 2274 3032 4548 6064 9096 12128 18192 24256 36384 37861 48512 72768 75722 113583 145536 151444 227166 302888 454332 605776 908664 1211552 1817328 2423104 3634656 4846208 7269312 14349319 14538624 28698638 43047957 57397276 86095914 114794552 172191828 229589104 344383656 459178208 688767312 918356416 1377534624 1836712832 2755069248 5510138496